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Finding the Third Proportional to 102,267 and 143,559

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Solution

The third proportional to 102,267 and 143,559 is: 201,523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,267 : 143,559 = 143,559 : x
  2. Step 2: Convert to fraction form
    102,267/143,559 = 143,559/x
  3. Step 3: Cross multiply
    102,267x = 143,559 × 143,559
  4. Step 4: Simplify right side
    102,267x = 20,609,186,481
  5. Step 5: Solve for x
    x = 20,609,186,481/102,267
  6. Step 6: Final answer
    x = 201,523.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.